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Question

# In an office, 30% of the employees have scooters and 25% have cars. Among those who have scooters, 90% do not have cars. The probability that an employee has a car given that he does not have a scooter is

A
1135
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B
33100
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C
1150
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D
910
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Solution

## The correct option is C 1150Let us assume that there are 100 employees in the office,∴ 30 members have scooters,25 members have cars,Among those who have scooters 27 members do not have cars,P(S∩¯C)=P(S∪C)−P(C)Here S represents event of selecting a member who has scooter,C represents the event of selecting the event of selecting a member having car,⟹P(S∪C)=52100,Required probability is P(C∩¯S),∴P(C∩¯S)=P(C∪S)−P(S)=52−30100=1150

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